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Simplifying -4(-12 + -12v) = 8(7v + -10) (-12 * -4 + -12v * -4) = 8(7v + -10) (48 + 48v) = 8(7v + -10) Reorder the terms: 48 + 48v = 8(-10 + 7v) 48 + 48v = (-10 * 8 + 7v * 8) 48 + 48v = (-80 + 56v) Solving 48 + 48v = -80 + 56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56v' to each side of the equation. 48 + 48v + -56v = -80 + 56v + -56v Combine like terms: 48v + -56v = -8v 48 + -8v = -80 + 56v + -56v Combine like terms: 56v + -56v = 0 48 + -8v = -80 + 0 48 + -8v = -80 Add '-48' to each side of the equation. 48 + -48 + -8v = -80 + -48 Combine like terms: 48 + -48 = 0 0 + -8v = -80 + -48 -8v = -80 + -48 Combine like terms: -80 + -48 = -128 -8v = -128 Divide each side by '-8'. v = 16 Simplifying v = 16
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